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Finding the Fourth Proportional to 138,381, 207,571.50 and 44,886.76

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Solution

The fourth proportional to 138,381, 207,571.50 and 44,886.76 is: 67,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,381 : 207,571.50 = 44,886.76 : x
  2. Step 2: Convert to fraction form
    138,381/207,571.50 = 44,886.76/x
  3. Step 3: Cross multiply
    138,381x = 207,571.50 × 44,886.76
  4. Step 4: Simplify right side
    138,381x = 9,317,212,103.34
  5. Step 5: Solve for x
    x = 9,317,212,103.34/138,381
  6. Step 6: Final answer
    x = 67,330.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.